(N^2-2n)(-4n+8)=0

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Solution for (N^2-2n)(-4n+8)=0 equation: 


Simplifying
(N2 + -2n)(-4n + 8) = 0

Reorder the terms:
(N2 + -2n)(8 + -4n) = 0

Multiply (N2 + -2n) * (8 + -4n)
(N2(8 + -4n) + -2n * (8 + -4n)) = 0
((8 * N2 + -4n * N2) + -2n * (8 + -4n)) = 0
((8N2 + -4nN2) + -2n * (8 + -4n)) = 0
(8N2 + -4nN2 + (8 * -2n + -4n * -2n)) = 0
(8N2 + -4nN2 + (-16n + 8n2)) = 0

Reorder the terms:
(8N2 + -16n + -4nN2 + 8n2) = 0
(8N2 + -16n + -4nN2 + 8n2) = 0

Solving
8N2 + -16n + -4nN2 + 8n2 = 0

Solving for variable 'N'.

Move all terms containing N to the left, all other terms to the right.

Add '16n' to each side of the equation.
8N2 + -16n + -4nN2 + 16n + 8n2 = 0 + 16n

Reorder the terms:
8N2 + -16n + 16n + -4nN2 + 8n2 = 0 + 16n

Combine like terms: -16n + 16n = 0
8N2 + 0 + -4nN2 + 8n2 = 0 + 16n
8N2 + -4nN2 + 8n2 = 0 + 16n
Remove the zero:
8N2 + -4nN2 + 8n2 = 16n

Add '-8n2' to each side of the equation.
8N2 + -4nN2 + 8n2 + -8n2 = 16n + -8n2

Combine like terms: 8n2 + -8n2 = 0
8N2 + -4nN2 + 0 = 16n + -8n2
8N2 + -4nN2 = 16n + -8n2

Reorder the terms:
8N2 + -16n + -4nN2 + 8n2 = 16n + -8n2 + -16n + 8n2

Reorder the terms:
8N2 + -16n + -4nN2 + 8n2 = 16n + -16n + -8n2 + 8n2

Combine like terms: 16n + -16n = 0
8N2 + -16n + -4nN2 + 8n2 = 0 + -8n2 + 8n2
8N2 + -16n + -4nN2 + 8n2 = -8n2 + 8n2

Combine like terms: -8n2 + 8n2 = 0
8N2 + -16n + -4nN2 + 8n2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(2N2 + -4n + -1nN2 + 2n2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(2N2 + -4n + -1nN2 + 2n2)' equal to zero and attempt to solve:

Simplifying
2N2 + -4n + -1nN2 + 2n2 = 0

Solving
2N2 + -4n + -1nN2 + 2n2 = 0

Move all terms containing N to the left, all other terms to the right.

Add '4n' to each side of the equation.
2N2 + -4n + -1nN2 + 4n + 2n2 = 0 + 4n

Reorder the terms:
2N2 + -4n + 4n + -1nN2 + 2n2 = 0 + 4n

Combine like terms: -4n + 4n = 0
2N2 + 0 + -1nN2 + 2n2 = 0 + 4n
2N2 + -1nN2 + 2n2 = 0 + 4n
Remove the zero:
2N2 + -1nN2 + 2n2 = 4n

Add '-2n2' to each side of the equation.
2N2 + -1nN2 + 2n2 + -2n2 = 4n + -2n2

Combine like terms: 2n2 + -2n2 = 0
2N2 + -1nN2 + 0 = 4n + -2n2
2N2 + -1nN2 = 4n + -2n2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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